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Natasha2012 [34]
3 years ago
11

What is the length of segment QV

Mathematics
2 answers:
Lyrx [107]3 years ago
8 0

Answer:

44

Step-by-step explanation:

ΔTRS ≅ ΔTRQ

TS = TQ

2x + 8 = 40

x = 16

The same situation

SV = QV

3 * 16 - 4 = 44

Degger [83]3 years ago
4 0

Answer:

44

Step-by-step explanation:

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Joe’s annual income has been increasing each year by the same dollar amount the first year his income was 19,500. 8 years later
Anna007 [38]

Answer:

The question is either poorly constructed or it is a trick question. We do not know "In what year was his income 30,300" because the years correlating to his income are not disclosed.  Even assuming the question was meant to be posed as "how many years later was his income 30,300" it is still flawed.

Step-by-step explanation:

To arrive at Joe's annual income increase, first subtract 19,500 from 27,900 to get 8400, which is his overall increase over the 8 years. Now divide 8400 by 8. You will get 1050.  Beginning with his income of 27,900, add 1,050 to each successive income amount and you will get the following progression:

27,900, 28,950, 30,000, 31,050, 32,100, 33,150, 34,200, 35,250, 36,300.

Therefore, two years after his income was 27,900 it would be 30,000 and 6 years after that it would be 36,300.  It would  never be 30,300.

6 0
3 years ago
Write two different rational functions whose graphs have the same end behaviour as the graph of y=3x^2
baherus [9]

Answer:

               y=x^2+5x+20\\ \\ y=8x^2+35

Explanation:

The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form y=ax^2+bx+c as x approaches negative infinity or infinity, when a  is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty

Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

Two examples are:

         y=x^2+5x+20\\ \\ y=8x^2+35

5 0
3 years ago
(-11/20) ÷ (-4/16) =
makvit [3.9K]

Answer:

2.2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me with this.
-Dominant- [34]

Answer:

3

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

3^4 +9^2÷3^3-9^2

81+81÷27-81

81+3-81

3

5 0
3 years ago
What is the remainder when 599 is divided by 9?
Schach [20]
599=540+59=540+54+5=60(9)+6(9)+5
\implies\dfrac{599}9=66+\dfrac59

so the remainder is 5.
3 0
3 years ago
Read 2 more answers
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